《Superconductor Phase Transition in Born-Infeld Electrodynamics》.pdf

Commun．Theor．Phys．60(2013)571—576 Vo1．60，No．5，November15，2013 HolographicInsulat0r／Superc0nduct0rPhaseTransitioninBorn—Infeld Electrodynam ics QIGuan—Bu(奇官布)，BAINan(白楠)，xuXiao—Bao(徐孝宝)，andGAOYi—Hong(高怡泓) StateKevLaboratoryofTheoreticalPhysics，InstituteofTheoreticalPhysics，ChineseAcademyofSciences，P．O．Box 2735，Beijing100190，China fReceivedApril15，2013；revisedmanuscriptreceivedMay22，2013) Abstract Westudvholographicinsulator／superconductorphasetransitionintheframeworkofBorn-Infeldelectro- dynamicsboth numerically andanalytically．Firstwenumericallystudy theeffectsoftheBorn-Infeld electrodynamics Ollthephasetransition，findthatwhen theBorn-Infeldparameterincreases，thecritical chemicalpotentialkeepsinvrai— antbutthegap rfequencybecomeslarger．Thenweemploy thevariationalmethod fortheSturm-Liouvilleeigenvalue problem tostudythephas etransition analytically．Theanalyticalresultsobtainedaref0und tobeconsistentwith the numer／cal results． PACSnumbers：11．25．Tq．74．20．一z Keywords：gaugestringduality，theoryofHigh-Tosuperconductors 1 Introduction electrodynamicstoBorn—Infeld(BI)model[191alsocaused TheAdS／CFT correspondence，I1-3]whichrelates intensive investigations，l20-zolsinceBIelectrodynamics possessesmany interestingphysicalpropertiesasfinite stringtheory onasymptoticallyAdSspacetimetoacon totalenergy and the invariance under electromagnetic formalfieldtheoryontheboundary，hasbeenextensively duality． In string theory，BIaction can also describe appliedinnuclearphysiesandcondensedmatterphysics． gaugefieldswhicharisefrom D—braneattaehedwithopen In particulartherelated developments